First combine the like terms 3y + 2y to get 5y. Then combine 4 + 1 to get 5. Your equation will now be 80 = 5y + 5. To solve for y, 5 needs to be subtracted from both sides of the equation leaving 75 = 5y. Final step to solving for y, 5 needs to be divided from each side of the equation leaving the final answer of
15 = y.
Answer:
Step-by-step explanation:
This question asks you to compare the coordinates of the vertex of each function.
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The vertex of the function is its minimum, the point where the graph stops decreasing and starts increasing. It is the lowest point on the graph.
<h3>f(x)</h3>
The vertex is (-4, -1). The minimum is -1, located at x = -4.
<h3>g(x)</h3>
The vertex is (1, -25). The minimum is -25, located at x = 1. We know this is the minimum because there are no g(x) values that are lower (more negative).
<h3>comparison</h3>
The minimum of f(x), -1, is greater than the minimum of g(x), -25. TRUE
The x-value of f(x) at its minimum, -4, is less than the x-value of g(x) at its minimum, 1. TRUE
Answer:
Therefore the amount in the 4% savings account = $550
Step-by-step explanation:
i) the total amount = $1500
ii) let the amount placed in the 4% interest savings account = x
iii) let the amount placed in the 5% interest savings account = y
iv) therefore fro i) we can say x + y = 1500
v) the total interest gained = $69.5
vi) therefore we can write 0.04x + 0.05y = 69.50
vii) multiplying equation vi) with 100 we get 4x + 5y = 6950
viii) Multiplying the equation in iv) by 5 we get 5x + 5y = 7500
ix) Subtracting equation in vii) from equation in viii) we get x = $550
x) Therefore the amount in the 4% savings account = $550
